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Finding the Fourth Proportional to 648.11, 970.41 and 339.32

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Solution

The fourth proportional to 648.11, 970.41 and 339.32 is: 508.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.11 : 970.41 = 339.32 : x
  2. Step 2: Convert to fraction form
    648.11/970.41 = 339.32/x
  3. Step 3: Cross multiply
    648.11x = 970.41 × 339.32
  4. Step 4: Simplify right side
    648.11x = 329,279.52
  5. Step 5: Solve for x
    x = 329,279.52/648.11
  6. Step 6: Final answer
    x = 508.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.